40540005431640 has 192 divisors, whose sum is σ = 154789111844640. Its totient is φ = 9071889315840.

The previous prime is 40540005431617. The next prime is 40540005431647. The reversal of 40540005431640 is 4613450004504.

40540005431640 is a `hidden beast` number, since 4 + 0 + 5 + 4 + 0 + 0 + 0 + 5 + 4 + 3 + 1 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 40540005431595 and 40540005431604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40540005431647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 393693717 + ... + 393796676.

Almost surely, 2^{40540005431640} is an apocalyptic number.

40540005431640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40540005431640 is an abundant number, since it is smaller than the sum of its proper divisors (114249106413000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40540005431640 is a wasteful number, since it uses less digits than its factorization.

40540005431640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787490434 (or 787490427 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 40540005431640 in words is "forty trillion, five hundred forty billion, five million, four hundred thirty-one thousand, six hundred forty".